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Finding the Fourth Proportional to 102.82, 141.92 and 64

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Solution

The fourth proportional to 102.82, 141.92 and 64 is: 88.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.82 : 141.92 = 64 : x
  2. Step 2: Convert to fraction form
    102.82/141.92 = 64/x
  3. Step 3: Cross multiply
    102.82x = 141.92 × 64
  4. Step 4: Simplify right side
    102.82x = 9,082.88
  5. Step 5: Solve for x
    x = 9,082.88/102.82
  6. Step 6: Final answer
    x = 88.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.